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Finding the Fourth Proportional to 940.65, 1,410.50 and 550.77

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Solution

The fourth proportional to 940.65, 1,410.50 and 550.77 is: 825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.65 : 1,410.50 = 550.77 : x
  2. Step 2: Convert to fraction form
    940.65/1,410.50 = 550.77/x
  3. Step 3: Cross multiply
    940.65x = 1,410.50 × 550.77
  4. Step 4: Simplify right side
    940.65x = 776,863.23
  5. Step 5: Solve for x
    x = 776,863.23/940.65
  6. Step 6: Final answer
    x = 825.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.